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2 years ago

Estimate a 15% tip on a dinner bill of $47.67 by first rounding the bill amount to the nearest ten dollars.

Mathematics

1 answer:

DENIUS [597]2 years ago

7 0

Answer:

The tip will be $7.2

And the total paid will be $55.20 or $55 rounded

Step-by-step explanation:

The equation is

48 x 0.15 = 7.2

48 + 7.2 = 55.2

55.2 rounded equals 55

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A shipping crate is shaped like a rectangular prism. It is 5 1/2 feet long by 3 feet wide by 3 feet high. What is the volume of

Andrej [43]

Volume = Length x width x height
Volume = 5 1/2 x 3 x 3 = 49.5 cubic feet

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2 years ago

Find the derivative of the function at P 0 in the direction of A. f(x,y,z) = 3 e^x cos(yz), P0 (0, 0, 0), A = - i + 2 j + 3k

Alik [6]

The derivative of $f(x,y,z)$ at a point $p_0=(x_0,y_0,z_0)$ in the direction of a vector $\vec a=a_x\,\vec\imath+a_y\,\vec\jmath+a_z\,\vec k$ is

$\nabla f(x_0,y_0,z_0)\cdot\dfrac{\vec a}{\|\vec a\|}$

We have

$f(x,y,z)=3e^x\cos(yz)\implies\nabla f(x,y,z)=3e^x\cos(yz)\,\vec\imath-3ze^x\sin(yz)\,\vec\jmath-3ye^x\sin(yz)\,\vec k$

and

$\vec a=-\vec\imath+2\,\vec\jmath+3\,\vec k\implies\|\vec a\|=\sqrt{(-1)^2+2^2+3^2}=\sqrt{14}$

Then the derivative at $p_0$ in the direction of $\vec a$ is

$3\,\vec\imath\cdot\dfrac{-\vec\imath+2\,\vec\jmath+3\,\vec k}{\sqrt{14}}=-\dfrac3{\sqrt{14}}$

3 0

3 years ago

Please help will give brainliest brainliest

Ad libitum [116K]

Answer:

D. $A\subset \mathbb{R}\times\mathbb{R}.$

Step-by-step explanation:

Consider the set

$A=\left\{(2,3),\ (5,1),\ (-3,-2),\ (0,3)\right\}$

This set consists of four ordered pairs.

The first numbers in these pairs are $2,\ 5,\ -3,\ 0.$ These numbers are integer numbers (not natural, because -3 is negative).

The second numbers in these pairs are $3,\ 1,\ -2,\ 3.$ These numbers are integer numbers too (not natural, because -2 is negative).

Options contain only natural and real sets, so, the first and the second numbers are real numbers and

$A\subset \mathbb{R}\times\mathbb{R}.$

8 0

3 years ago

Read 2 more answers

HELP I WILL PUT U AS BRAINLIEST<br><br>Find g(2)<br>g(x) = x^2 - 4x

Dmitry_Shevchenko [17]

Answer:

-4

Step-by-step explanation:

g(2) means x=2

$2^{2}-4(2) = -4$

6 0

3 years ago

In △ABC, angle C is a right angle and BC > AC. Select all the statements that are true.

Alexus [3.1K]

△ABC right angle C, leg BC > leg AC. So angle A > angle B.

a=BC, b=AC, c=AB

a > b

sin A= cos B = a/c

sin B = cos A = b/c

a = c sin A = c cos B

b = c sin B = c cos A

a > b

c sin A > c sin B

sin A > sin B

c cos B > c cos A

cos B > cos A

Answer: B, E

7 0

2 years ago